1. Please respond to the following questions. Each question is worth 10 points:

1) If a process is Normally distributed what is the relationship between a run chart and a control chart of this process performance? Please discuss.

2) A project manager needs to choose a machine that molds 1-inch plastic water pipe. The 1-inch pipe has a specification of 1-inch plus or minus 0.1 inch. Determine which machine he should choose, by computing and interpreting the process capability index for each machine.

If the manager chooses machine A because it is cheaper, what % of the pipes produced will be out of spec?

Machine Standard Deviation (inches)
A 0.08
B 0.06
C 0.05
D 0.02
3) A project manager at COMSOFT corporation has collected statistics on the organization’s software development process. He has the size of each project in number of lines of code for the past 20 projects and the number of design errors discovered in design reviews for each project. .
Describe what type of control chart you can use and how do you calculate the control limits to check if the software design process in this organization is in control.
4) A project manager at System Design Corporation has collected the following data on the size of software programs and the length of programming time. The company is bidding on a new system that is estimated to consist of 250000 lines of code. Please use the data to find the functional relationship of the coding time to the program size and estimate the number of days it would take to code the new system.

Module Size in 1000 lines of code (KLOC) Number of days to code
1 160 68
2 158 66
3 148 70
4 135 59
5 178 72
6 170 68
7 158 64
8 138 65
9 200 70
10 195 68
11 189 65
12 173 68
13 159 70
14 163 71
15 150 66
16 140 65
17 206 73
18 144 64
19 157 70
20 183 74
21 195 75
22 190 77
23 182 69
24 152 65
25 174 69
5) For the above problem plot a histogram of module size in this program.

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